উঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕8)&ᗋ∧࡜㗰᱆ࡢ᥋ྜ㒊࡟㛵ࡍࡿ᳨ウ㮵ᓥᘓタ ᰴ     ṇ఍ဨ ᕤಟ ‫ۑ‬ᶓ⏣ ♸㉳㜰⚄㧗㏿㐨㊰ ᰴ       ᕤ༤  㔠἞ ⱥ㈆
㜰⚄㧗㏿㐨㊰ ᰴ   ṇ఍ဨ ᕤಟ  ᑠᆏ ᓫ㮵ᓥᘓタ ᰴ     ṇ఍ဨ ᕤಟ  ୍ᐑ ฼㏻
Abstract㸸Recently, the deterioration of RC slabs due to aging and repeated traffic load is actualized. To
replace them with new ones quickly and reduce the maintainance cost, authors developed the lightweight and high-durability slab using ultra high strength fiber reinforced concrete(UFC).The UFC slab isconnected to a steel girder using stud dowel in the same manner as the PC slab. However, it is assumed
that the existing design equations for stud dowels are not applicable in our case because the compressive
strength of UFC is extremely large and the UFC slab is thinner than the PC slab. Therefore, in this study,
structural performances of the stud dowel are examined by shear tests and fatigue tests. As results, wecomfirmed that the method to calculate the allowable shear capacity from the yield shear capacity isapllicable to the design of the stud dowel and fatigue strength can be evaluated using an existing designequation.
Key words㸸 Ultra high strength fiber reinforced concrete, Bridge slab, Stud dowel㸯ࡣࡌࡵ࡟㏆ᖺ㸪㧗㏿㐨㊰࡛ࡣ⪁ᮙ໬࡜஺㏻Ⲵ㔜ࡢ⧞㏉ࡋ㍕Ⲵ࡟ࡼࡗ࡚5&ᗋ∧ࡢᦆയࡀ㢧ᅾ໬ࡋ࡚࠸ࡿࠋࡇࡢࡼ࠺࡞≧ἣࢆ㋃ࡲ࠼➹⪅ࡽࡣ㗰᱆ࢆ᭷ࡍࡿ᪤タᶫ࡟㐺⏝࡛ࡁࡿࠕ㍍㔞࠿ࡘ⪏ஂᛶࡢ㧗࠸ᗋ∧ࠖ࡜ࡋ࡚㉸㧗ᙉᗘ⧄⥔⿵ᙉࢥࣥࢡ࣮ࣜࢺ㸦௨ୗ8)&㸧ࢆ⏝࠸ࡓ8)&ᗋ∧ࢆ㛤Ⓨࡋ࡚࠸ࡿ ࠋᅗ㸫㸯࡟5&ᗋ∧ࡢ᭦᪂࡟ᑐᛂࡋࡓ8)&ᗋ∧ࡢᵓ㐀ᴫせࢆ♧ࡍࠋྠᗋ∧ࡣ㸪ᇶᮏⓗ࡞ᵓ㐀ࡣ3&ᗋ∧࡜ྠᵝ࡛࠶ࡿࡀ㸪8)&ࡢ㧗࠸ᅽ⦰ᙉᗘࢆά࠿ࡋ࡚኱ࡁ࡞ࣉࣞࢫࢺࣞࢫࢆᑟධࡍࡿࡇ࡜࡛㸪୍⯡ⓗ࡞3&ᗋ∧ࡼࡾࡶᗋ∧ཌࡉࢆⷧࡃࡋࡓ㍍㔞ᗋ∧࡛࠶ࡿࠋྠᗋ∧ࡢ㐺⏝࡟ࡼࡾᯫタタഛࡢ⡆᫆໬ࡸᯫタ᫬㛫ࡢ▷⦰࡞࡝ࡀᮇᚅ࡛ࡁࡿࠋຍ࠼࡚㧗⪏ஂ࡞ᮦᩱ࡛࠶ࡿ8)&ࢆ౑⏝ࡍࡿࡇ࡜࡛ᗋ∧ࡢ⪏ஂᛶࡢྥୖࡀᮇᚅ࡛ࡁࡿࠋ8)&ᗋ∧࡜㗰᱆ࡢ᥋ྜᵓ㐀ࡣ㏻ᖖࡢ3&ᗋ∧࡜ྠᵝᗋ∧࡟㢌௜ࡁࢫࢱࢵࢻ⏝ࡢ⟽ᢤࡁࢆタࡅ࡚࠾ࡁ㗰᱆࡜ᗋ∧㛫ࡢPP⛬ᗘࡢ㛫ワࡵ㒊ࢆࣔࣝࢱ࡛ࣝ⟽ᢤࡁࢆ⭾ᙇࢥࣥࢡ࣮ࣜࢺ࡞࡝࡛඘ሸࡋ୍࡚య໬ࡍࡿ㸦ᅗ㸫㸰㸧ࠋ3&ᗋ∧࡜㗰᱆ࢆ᥋ྜࡍࡿࢫࢱࢵࢻࡢタィ࡛ࡣ୍⯡ⓗ࡟ࡣ㐨㊰ᶫ♧᪉᭩ ࡢチᐜࡏࢇ᩿ຊࡢᘧࡀ㐺⏝ࡉࢀ㸪⑂ປࡢ↷ᰝࡣ┬␎ࡉࢀ࡚࠸ࡿࠋࡋ࠿ࡋ㸪8)&ࡢタィᇶ‽ᙉᗘࡣ1PP࡜㧗࠸ࡇ࡜㸪࣏ࢫࢺࢸࣥࢩࣙࣥ 3& 㗰ᮦࣉࣞࢸࣥࢩࣙࣥ3& 㗰ᮦᅗ㸫㸯 5&ᗋ∧ࡢ᭦᪂࡟ᑐᛂࡋࡓ8)&ᗋ∧ࡢᵓ㐀ᴫせ   ᅗ㸫㸰 8)&ᗋ∧࡜㗰᱆ࡢ᥋ྜᵓ㐀উঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕

࡞ࡽࡧ࡟8)&ᗋ∧ࡢཌࡉࡣ㐨㊰ᶫ♧᪉᭩࡟グ㍕ࡢ᭱ᑠᗋ∧ཌࡉࡼࡾࡶⷧ࠸ࡇ࡜࠿ࡽ㐨㊰ᶫ♧᪉᭩ࡢᘧࡣ‽⏝࡛ࡁ࡞࠸࡜⪃࠼ࡽࢀࡿࠋࡑࡇ࡛ᮏ᥋ྜᵓ㐀ࢆ෌⌧ࡋࡓヨ㦂యࢆ⏝࠸࡚ᢲᢤࡁヨ㦂᪉ἲ ࡟ࡼࡿࡏࢇ᩿ヨ㦂࠾ࡼࡧ⑂ປヨ㦂ࢆᐇ᪋ࡋタィ࡛⏝࠸ࡿチᐜࡏࢇ᩿ຊࡢタᐃ᪉ἲ࡜᪤ ࡢ⑂ປᙉᗘᘧࡢ㐺⏝ᛶ࡟ࡘ࠸᳨࡚ウࡋࡓࠋ ࡞࠾㸪➹⪅ࡽࡢࡇࢀࡲ࡛ࡢ◊✲ ࡛ࡣ㸪㛫ワࡵ㒊ࡢ๤ⴠ㜵Ṇ⟇࡜ࡋ࡚ᗋ∧࡜+ᙧ㗰㛫ࡢ㛫ワࡵ㒊ࢆ⁐᥋㔠⥙࡛⿵ᙉࡍࡿ᪉ἲ࡟ࡘ࠸᳨࡚ウࡋࡓࡀ㸪ᮏ◊✲࡛ࡣ㛫ワࡵᮦࢆྜᡂ⧄⥔࡛⿵ᙉࡍࡿ᪉ἲ࡟ࡘ࠸࡚ࡶ㐺⏝ᛶࢆ᳨ウࡋࡓࠋ㸰ᢲᢤࡁࡏࢇ᩿ヨ㦂㸰㸯ヨ㦂ࡢᴫせ ヨ㦂యࡢᴫせࢆᅗ㸫㸱࠾ࡼࡧ⾲㸫㸯࡟♧ࡍࠋ8)&ᗋ∧㒊ࡢཌࡉࡣPP࡜ࡋࡓࠋ㢌௜ࡁࢫࢱࢵࢻ -,6% ࡢᚄࡣȭPP࡛㛗ࡉࡣPP࡜ࡋ㗰᱆ࢆᶍᨃࡋࡓ+ᙧ㗰ࡢ୧ࣇࣛࣥࢪ࡟ᮏࡎࡘ㓄⨨ࡋࡓࠋ+ᙧ㗰ࡢࣇࣛࣥࢪᖜࡣPP㸪ᗋ∧࡜㗰᱆㛫ࡢ㛫ワࡵ㒊ࡢཌࡉࡣPP㸪ᖜࡣ+ᙧ㗰ࡢࣇࣛࣥࢪᖜ࡜ྠࡌPP࡜ࡋࡓࠋ 㛫ワࡵ㒊ࡢࣔࣝࢱࣝ඘ሸࡣᗋ∧ࢆỈᖹ࡟ࡋ࡚ᐇ᪋ࡋ ෗┿㸫㸯 ྠ᪥ࡢᩘ᫬㛫ᚋ࡟୧ഃࡢ㛫ワࡵࢆ᏶஢ࡋࡓࠋ࡞࠾ᮏヨ㦂࡛ࡣ⟽ᢤࡁ㒊࡟ࡶཌࡉPPࡢ㛫ワࡵ㒊࡜ྠ᫬࡟ࣔࣝࢱࣝࢆ඘ሸࡋࡓࠋ ⾲㸫㸯࡟౑⏝ᮦᩱࡢᙉᗘヨ㦂⤖ᯝࢆ♧ࡍࠋࣔࣝࢱࣝ࡟ࡣ཰⦰⿵ൾᆺࡢࣉ࣑ࣞࢵࢡࢫࣔࣝࢱࣝࢆ౑⏝ࡋᚋ㏙ࡢ࡜࠾ࡾヨ㦂య1R㹼ࡢࣔࣝࢱࣝ࡟ࡣྜᡂ⧄⥔ࢆΰධࡋࡓࠋ8)&࡟ࡣ࢚ࢺࣜࣥ࢞࢖ࢺ⏕ᡂ⣔ࡢ8)& ࢆ౑⏝ࡋࡓࠋᗋ∧㒊ࡢ8)&ࡣ㣴⏕࡜ࡋ࡚ᖖࡢᑒ⥸㣴⏕ࢆ᫬㛫⾜࠸ࡑࡢᚋΥࡢ⵨Ẽ㣴⏕ࢆ᫬㛫⾜ࡗࡓࠋ࡞࠾⾲㸫㸯ࡢࣔࣝࢱࣝ࠾ࡼࡧ8)&ࡢᅽ⦰ᙉᗘࡣ୧ഃࡢᖹᆒ್࡛࠶ࡿࠋ ヨ㦂య1R㹼࡟ࡣࡑࢀࡒࢀ࡛␗࡞ࡿ㛫ワࡵ㒊ࡢ⿵ᙉ࣭๤ⴠ㜵Ṇ⟇ࢆ᪋ࡋࡓࠋ1R࡛ࡣᗋ∧࡜+ᅗ㸫㸱 ヨ㦂యࡢᴫせ⾲㸫㸯 ᢲᢤࡁࡏࢇ᩿ヨ㦂ࡢヨ㦂య࠾ࡼࡧヨ㦂᮲௳㛫ワࡵᗋ∧㒊㢌௜ࡁࢫࢱࢵࢻ᭱኱⪏ຊ 㝆అ⪏ຊヨ㦂య㍕Ⲵ᪉ἲᅽ⦰ᙉᗘᘬᙇᙉᗘᅽ⦰ᙉᗘ
3PD[N1  3\ N1
௙ᵝ௙ᵝ
௙ᵝ
1PP
㸦1PP㸧
1PP ༢ㄪ㍕Ⲵ
1Rࣔࣝࢱࣝ㸩⁐᥋㔠⥙1R₞ቑ⧞㏉ࡋ㍕Ⲵ 
33⧄⥔ΰධࣔࣝࢱࣝ
༢ㄪ㍕Ⲵ
1R/ PPΰධȭ
3(⧄⥔ΰධࣔࣝࢱࣝ8)& ᮏ㠃༢ㄪ㍕Ⲵ
1R/ PPΰධ
༢ㄪ㍕Ⲵ
1R
3(⧄⥔ΰධࣔࣝࢱࣝ
1R/ PPΰධ
₞ቑ⧞㏉ࡋ㍕Ⲵ
1R33⧄⥔㸸࣏ࣜࣉࣟࣆࣞࣥ⧄⥔㸪3(⧄⥔㸸㉸㧗ศᏊ࣏࢚ࣜࢳࣞࣥ⧄⥔㸪/⧄⥔㛗㸪⧄⥔ࡢΰධ㔞ࡣࣔࣝࢱࣝࡢయ✚࡟ᑐࡍࡿẚ⋡উঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕ࣔࣝࢱࣝᢞධᏍ

PP ෗┿㸫㸯 㛫ワࡵ㒊ࡢ඘ሸ≧ἣ ෗┿㸫㸰⁐᥋㔠⥙タ⨨≧ἣ ෗┿㸫㸱ࣔࣝࢱࣝ඘ሸᛶ☜ㄆヨ㦂ᙧ㗰㛫ࡢ㛫ワࡵ㒊ࢆ┤ᚄPPࡢ㗰ᮦࡀPP㛫㝸࡛㓄⨨ࡉࢀࡓ⁐᥋㔠⥙࡛⿵ᙉࡋࡓ㸦෗┿㸫㸰㸧ࠋࡲࡓ㸪1R࡟ࡣࣔࣝࢱࣝ࡟
㛗ࡉPPࡢ࣏ࣜࣉࣟࣆࣞࣥ⧄⥔㸦௨ᚋ㸪33⧄⥔㸧ࢆ1R࡟
ࡣ㛗ࡉPPPPࡢ㉸㧗ศᏊ࣏࢚ࣜࢳࣞࣥ⧄⥔㸦௨ᚋ㸪3(⧄⥔㸧ࢆࡑࢀࡒࢀΰධࡋࡓࠋ⧄⥔ࡢΰධ㔞ࡣ㸪㛫ワࡵ㒊࡟Ⰻዲ࡟඘ሸࡍࡿࡇ࡜ࡀྍ⬟࡞⠊ᅖ࡛タᐃࡋࡓࠋ⧄⥔ࢆΰධࡋࡓࣔࣝࢱࣝࡢ඘ሸᛶࡣ㸪෗┿㸫㸱࡟♧ࡍࡼ࠺࡟8)&ᗋ∧࡜㗰᱆㛫ࡢPPࡢ㛫ワࡵ㒊ࢆᶍᨃࡋࡓᶍᆺࢆ⏝࠸ࡓ඘ሸヨ㦂࡟ࡼࡾุ᩿ࡋࡓࠋ33⧄⥔ࡣ๤ⴠ㜵Ṇࢆ┠ⓗ   ෗┿㸫㸲 ᢲᢤࡁࡏࢇ᩿ヨ㦂࡜ࡋࡓሙྜࡢ୍⯡ⓗ࡞ΰධ㔞࡛࠶ࡿࢆΰධࡋࡓࠋ33⧄⥔ࡣ⧄⥔㛗ࡀPP࡜㛗࠸ࡶࡢࢆ⏝࠸ࡓࡓࡵ㸪ࡼࡾࡶΰධ㔞ࢆቑࡸࡍ࡜඘ሸࡀᅔ㞴࡜࡞ࡗࡓࠋ3(⧄⥔ࡣ33⧄⥔ࡼࡾࡶ⧄⥔㛗ࡀ▷࠸ࡶࡢࢆ⏝࠸࡚࠾ࡾΰධ㔞ࢆࡲ࡛ቑࡸࡋ࡚ࡶ඘ሸྍ⬟࡛࠶ࡿࡇ࡜ࡀ☜ㄆࡉࢀࡓࡓࡵΰධ㔞ࡣ࡜ࡋࡓࠋ
㍕Ⲵ᪉ἲࡣᢲᢤࡁࡏࢇ᩿ヨ㦂࡜ࡋ ෗┿㸫㸲 ヨ㦂య1R㹼ࡣ㟼ⓗ༢ㄪ㍕Ⲵヨ㦂య1Rࡣ₞ቑ⧞㏉ࡋ㍕Ⲵ࡜ࡋࡓࠋ₞ቑ⧞㏉ࡋ㍕Ⲵ࡛ࡣࢫࢱࢵࢻᮏ࠶ࡓࡾࡢⲴ㔜ቑศࢆN1ᮏୗ㝈Ⲵ㔜ࢆN1ᮏ࡜ࡋ࡚ࡎࢀኚ఩㸦ᗋ∧㒊࡜+ᙧ㗰ࡢ㖄┤᪉ྥ┦ᑐኚ఩㸧ࡀ⣙PP࡟㐩ࡍࡿࡲ࡛Ⲵ㔜ไᚚ࡛⧞㏉ࡋ㍕Ⲵࢆᐇ᪋ࡋࡓࠋࡑࡢᚋࡣࡎࢀኚ఩ࡢቑศࢆPP㸪ୗ㝈Ⲵ㔜N1ᮏ࡜ࡋ࡚ࡎࢀኚ఩ࡀ⣙PP࡟㐩ࡍࡿࡲ࡛⧞㏉ࡋ㍕Ⲵᚋ㸪᭱ᚋࡣ⤊ᒁ࡟⮳ࡿࡲ࡛ᢲᢤࡁ㍕Ⲵࢆᐇ᪋ࡋࡓࠋ㗰〇ࡢྎᗙୖ࡟ᩜ࠸ࡓࣅࢽ࣮ࣝࢩ࣮ࢺୖ࡟୙㝣ㄪᩚ⏝ࡢ▼⭯ࢆᩜタࡋࡑࡢୖ࡟ヨ㦂యࢆタ⨨ࡋࡓࠋᗋ∧㒊ࡢ㛤ࡁࡣᣊ᮰ࡋ࡞࠿ࡗࡓࠋヨ㦂
య1R㹼ࡢヨ㦂ᐇ᪋ᚋ᥇⏝ࡍࡿ㛫ワࡵ㒊ࡢ௙ᵝࢆ㑅ᐃࡋヨ㦂ᩘቑຍࢆ┠ⓗ࡜ࡋ࡚㑅ᐃࡋࡓ௙ᵝࡢヨ㦂యయࢆ᪂ࡓ࡟〇సࡋヨ㦂య1R࡜ࡋ࡚₞ቑ⧞㏉ࡋ㍕Ⲵヨ㦂ࢆᐇ᪋ࡋࡓࠋ㸰㸰ヨ㦂⤖ᯝ ྛヨ㦂యࡢ᭱኱⪏ຊࢆ⾲㸫㸯࡟♧ࡍࠋࡲࡓ㸪㟼ⓗ༢ㄪ㍕Ⲵ࠾ࡼࡧ₞ቑ⧞㏉ࡋ㍕Ⲵヨ㦂᫬ࡢࡏࢇ᩿ຊ࡜ࡎࢀኚ఩㸦ᗋ∧㒊࡜+ᙧ㗰ࡢ㖄┤᪉ྥ┦ᑐኚ఩㸧㛵ಀࢆᅗ㸫㸲࡟♧ࡍࠋ࠸ࡎࢀࡢヨ㦂యࡶࡎࢀኚ఩ࡀ
⣙PP࡛Ⲵ㔜ࡢቑຍࡀᑠࡉࡃ࡞ࡾ᭱኱⪏ຊ࡟฿㐩ࡋࡓࠋࡑࡢᚋ␗㡢ࡀⓎ⏕ࡋ࡚⪏ຊࡀపୗࡋ෗┿㸫㸳ࡢࡼ࠺࡟㢌௜ࡁࢫࢱࢵࢻ┤ୗࡢ㛫ワࡵࣔࣝࢱࣝ㒊࡟ࡦࡧ๭ࢀࡀほᐹࡉࢀࡓࠋࡦࡧ๭ࢀⓎ⏕ᚋࡶヨ㦂య
1R࡛ࡣࡎࢀኚ఩ࡀ⣙PPࡲ࡛ࡑࡢ௚ࡢヨ㦂య࡛ࡣ⣙PPࡲ࡛᭱኱⪏ຊ࡟㏆࠸ࡏࢇ᩿ຊࢆಖᣢࡋࡓࠋ
ヨ㦂య1R㹼ࡢ᭱኱⪏ຊࡣ㹼N1ᮏ࡛࠶ࡾヨ㦂య1R㸦3(⧄⥔/ PPΰධࡢࢣ࣮ࢫ ࡀ᭱ࡶ⪏ຊࡀ኱ࡁ࠿ࡗࡓࠋヨ㦂య1Rࡢࡼ࠺࡟㛫ワࡵ㒊ࢆ⁐᥋㔠⥙࡛⿵ᙉࡍࡿ࡜㸪↓ᑐ⟇ࡢሙྜ࡟ẚ࡭࡚᭱኱⪏ຊࡀ๭⛬ᗘቑຍࡍࡿࡇ࡜ࡀ➹⪅ࡽࡢࡇࢀࡲ࡛ࡢ᳨ウ ࡛☜ㄆࡉࢀ࡚࠸ࡿࡀࣔࣝࢱࣝ࡟
3(⧄⥔ࢆΰධࡍࡿ⿵ᙉ᪉ἲ࡛ࡶ⁐᥋㔠⥙⿵ᙉ࡜ྠ⛬ᗘ௨ୖࡢຠᯝࡀᚓࡽࢀࡿ࡜⪃࠼ࡽࢀࡿࠋୖ㏙ࡢ࡜࠾ࡾヨ㦂య1Rࡀ᭱ࡶ⪏ຊࡀ㧗ࡃࡲࡓ⁐᥋㔠⥙ࡣ⭉㣗ࡍࡿࡇ࡜ࡀᠱᛕࡉࢀࡿࡓࡵ㸪㛫ワࡵ㒊ࡢ௙ᵝࡣ㸪ヨ㦂య1R࡟㐺⏝ࡋࡓ㛗ࡉPPࡢ3(⧄⥔ࢆΰධࡋࡓࣔࣝࢱࣝࢆ౑⏝ࡍࡿ᱌ࢆ᥇⏝ࡍࡿࡇ࡜࡜ࡋࡓࠋউঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕ϭϳϱEŽ͘ϱ EŽ͘ϳ EŽ͘ϰ䛫䜣᩿ຊ䠄ŬEͬᮏ䠅ϭϱϬEŽ͘ϲϭϮϱEŽ͘ϯϭϬϬEŽ͘ϭEŽ͘ϮϳϱEŽ͘ϭEŽ͘ϰEŽ͘ϳϱϬϮϱEŽ͘ϮEŽ͘ϱEŽ͘ϯEŽ͘ϲϬϬϮϰϲϴ,㗰䛸䝰䝹䝍䝹㛫䛾䛪䜜ኚ఩䠄䟚䠅ϭϬϭϲϬϭϱϬϭϱϬϭϮϱEŽ͘ϳϭϰϬϭϯϬEŽ͘ϱ䛫䜣᩿ຊ䠄ŬEͬᮏ䠅᭱኱⪏ຊ;ŬEͬᮏͿᅗ㸫㸲 ࡏࢇ᩿ຊ㸫ࡎࢀኚ఩㛵ಀ     ෗┿㸫㸳 㛫ワࡵ㒊ࡢࡦࡧ๭ࢀ㸦㍕Ⲵ⤊஢ᚋ㸧EŽ͘ϲϭϮϬヨ㦂⤖ᯝ;EŽ͘ϱ㹼ϳͿϭϭϬWŵĂǆͬϯⅬ䛾๭⥺๛ᛶ

WǇ

ϭϬϬϳϱ WŵĂǆͬϯсϰϱ͘ϳϱϬϮϱϬϭϬϬϱϱϲϬϲϱϳϬ䝰䝹䝍䝹䛾ᅽ⦰ᙉᗘ;EͬŵŵϮͿϳϱϬ͘ϬϬ͘ϮϬ͘ϰϬ͘ϲϬ͘ϴ,㗰䛸䝰䝹䝍䝹㛫䛾䛪䜜ኚ఩䠄䟚䠅ϭ͘Ϭᅗ㸫㸳 ᭱኱⪏ຊ࡜ࣔࣝࢱࣝࡢᅽ⦰ᙉᗘࡢ㛵ಀ   ᅗ㸫㸴 㝆అ⪏ຊ3\ࡢ⟬ฟ㸦ヨ㦂య1R㸧ヨ㦂య1R࡜ྠᵝࡢ௙ᵝ࡜ࡋࡓヨ㦂య1R࡛ࡣ㸪᭱኱⪏ຊࡣヨ㦂య1R࡜࡯ࡰྠ⛬ᗘ࡛࠶ࡗࡓࡀ㸪ࣔࣝࢱࣝࡢᅽ⦰ᙉᗘࡀ㧗࠸࡯࡝᭱኱⪏ຊࡶ኱ࡁࡃ࡞ࡿഴྥࡀࡳࡽࢀࡓ㸦ᅗ㸫㸳㸧ࠋᩥ⊩㸱 ࡟‽ࡌ࡚㸪᭱኱Ⲵ㔜ࡢࡢⅬࡢ๭⥺ࢆࡎࢀኚ఩ࡀPPࡢ఩⨨࡟࢜ࣇࢭࢵࢺࡋࡑࡢ┤⥺࡜ᐇ㦂⤖ᯝࡀ஺ᕪࡍࡿⲴ㔜ࢆ㝆అ⪏ຊ࡜ࡋ࡚ồࡵࡓ⤖ᯝࢆᅗ㸫㸴࠾ࡼࡧ⾲㸫㸯࡟♧ࡍࠋ㐨㊰ᶫ♧᪉᭩ ࡟つᐃࡉࢀࡿタィⲴ㔜స⏝᫬ࡢࢫࢱࢵࢻࡢチᐜࡏࢇ᩿⪏ຊࡣ㝆అ⪏ຊ࡟ᑐࡋ࡚⛬ᗘࡢᏳ඲⋡ࢆ⪃៖ࡋ࡚タᐃࡉࢀ࡚࠸ࡿࠋᮏ◊✲࡛ࡣ㸪㑅ᐃࡋࡓ㛫ワࡵᵓ㐀ࢆ᭷ࡍࡿヨ㦂య ヨ㦂య1R㹼 ࡢ㝆అ⪏ຊ࡟ᑐࡍࡿᏳ඲⋡ࢆ࡜ࡋࡓሙྜ㸪ࢫࢱࢵࢻࡢチᐜࡏࢇ᩿⪏ຊࡣ㹼N1ᮏ࡛࠶ࡗࡓࠋ
㸱⑂ປヨ㦂 ヨ㦂య࠾ࡼࡧヨ㦂᮲௳ࢆ⾲㸫㸰࡟♧ࡍࠋヨ㦂యࡢᑍἲ࣭ᙧ≧ࡣᢲᢤࡁࡏࢇ᩿ヨ㦂࡜ྠ୍࡛࠶ࡿࠋ㛫ワࡵ㒊ࡢ௙ᵝࡣᢲᢤࡁࡏࢇ᩿ヨ㦂࡛㑅ᐃࡋࡓࡶࡢ࡜ྠ୍࡜ࡋࡓࠋࡲࡓ㍕Ⲵ᪉ἲࡣᢲᢤࡁࡏࢇ᩿ヨ㦂࡜ྠᵝ࡛࠶ࡿࡀୗ㝈Ⲵ㔜ࢆN1ࢫࢱࢵࢻᮏ࠶ࡓࡾࡢኚືⲴ㔜ࢆ1Rヨ㦂యࡢ㟼ⓗ⪏ຊ N1 ࡢ
 N1  N1 ࠾ࡼࡧ N1 ࡜ࡋ࡚+]࡛⧞㏉ࡋ㍕Ⲵࢆ⾜ࡗࡓࠋ⾲㸫㸰 ⑂ປヨ㦂ࡢヨ㦂య࠾ࡼࡧヨ㦂᮲௳㛫ワࡵࢫࢱࢵࢻ㍕ⲴⲴ㔜ヨ㦂యᘬᙇᙉᗘᅽ⦰ᙉᗘࢫࢱࢵࢻᮏ࠶ࡓࡾࡢୗ㝈Ⲵ㔜௙ᵝ௙ᵝ
㸦1PP㸧
1PP ኚືⲴ㔜Ǽ3 N1ᮏ 
3PLQ N1 
1R

3(⧄⥔ΰධࣔࣝࢱࣝȭ
1R
/ PPΰධ ᮏ㠃
1R
3(⧄⥔㸸㉸㧗ศᏊ࣏࢚ࣜࢳࣞࣥ⧄⥔㸪/⧄⥔㛗㸪⧄⥔ࡢΰධ㔞ࡣࣔࣝࢱࣝࡢయ✚࡟ᑐࡍࡿẚ⋡উঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕䛪䜜ኚ఩䠄ŵŵ䠅ϳϲEŽ͘ϴϱEŽ͘ϵϰEŽ͘ϭϬϯϮϭϬϭ͘нϬϬϭ͘нϬϮϭ͘нϬϰ㍕Ⲵᅇᩘ䠄ᅇ䠅ϭ͘нϬϲ ᅗ㸫㸵 ࡎࢀኚ఩ࡢ⤒᫬ኚ໬         ෗┿㸫㸴 ヨ㦂యࡢ◚ቯ≧ἣ ヨ㦂య1R ㈅Ẇ≧ࡢᶍᵝ ෗┿㸫㸵 ࢫࢱࢵࢻࡢ◚᩿㠃 ヨ㦂య1R     ෗┿㸫㸶 ࢫࢱࢵࢻࡢ◚᩿㠃 ヨ㦂య1R 䝇䝍䝑䝗ϭᮏ䛒䛯䜚䛾ኚືⲴ㔜ȴW;ŬEͬᮏͿϭϳϱ䛫䜣᩿ຊ䠄ŬEͬᮏ䠅ϭϱϬ

log( 0.268'3 )ϭϬϬϭϮϱϭϬϬϳϱϱϬEŽ͘ϭϬ;ϮϬϬ୓ᅇ⤊஢ᚋͿϮϱEŽ͘ϱϭϬϭ͘нϬϯϬϬϮϰϲϴ,㗰䛸䝰䝹䝍䝹㛫䛾䛪䜜ኚ఩䠄䟚䠅ϭϬ

1.75  0.117 log 1ϰϲϭϬϭϱϴϭϵϮϮϬϬϬϬϬϬ
;◚ቯ䛫䛪Ϳᩥ⊩ϱͿ䛾⑂ປᙉᗘᘧኚືⲴ㔜ϴϮ͘ϯŬEኚືⲴ㔜ϲϴ͘ϲŬEኚືⲴ㔜ϰϴ͘ϬŬE㸦◚ቯ䛫䛪䠅ϭ͘нϬϰϭ͘нϬϱϭ͘нϬϲϭ͘нϬϳϭ͘нϬϴ㍕ⲴᅇᩘE䠄ᅇ䠅ᅗ㸫㸶 ࡏࢇ᩿ຊ㸫ࡎࢀኚ఩㛵ಀ㸦ヨ㦂య1R㸧     ᅗ㸫㸷 ⑂ປᙉᗘᘧ࡜ࡢẚ㍑

 ヨ㦂⤖ᯝ࡜ࡋ࡚ࡎࢀኚ఩㸦ᗋ∧㒊࡜+ᙧ㗰ࡢ㖄┤᪉ྥ┦ᑐኚ఩㸧ࡢ⤒᫬ኚ໬ࢆᅗ㸫㸵࡟♧ࡍࠋヨ㦂
య1R࡛ࡣࡎࢀኚ఩ࡀPPࢆ㉺࠼࡚࠿ࡽࡎࢀኚ఩ࡢቑຍࡀ᪩ࡲࡾ㢌௜ࡁࢫࢱࢵࢻࡀ௜᰿࡛◚᩿ࡋࡓ ෗┿㸫㸴㸵 ࠋヨ㦂య1Rࡣ㸪୓ᅇ㍕Ⲵ᏶஢᫬࡛ࡶ⑂ປ◚ቯ࡟⮳ࡽ࡞࠿ࡗࡓࠋ๓❶࡛㏙࡭ࡓࡼ࠺࡟ᮏᵓ㐀ࡢࢫࢱࢵࢻࡢ㝆అ⪏ຊࡢࡣ㹼N1ᮏ࡛࠶ࡗࡓࠋࡇࡢࡇ࡜࡟ຍ࠼㸪
N1ᮏࡢኚືⲴ㔜ࢆ⧞㏉ࡋ㍕Ⲵࡍࡿ⑂ປヨ㦂 ヨ㦂య1R ࡛୓ᅇ㍕Ⲵᚋࡶ⑂ປ◚ቯ࡟⮳ࡽ࡞࠿ࡗࡓࡇ࡜࠿ࡽ㝆అ⪏ຊࡢࢆチᐜࡏࢇ᩿⪏ຊ࡜ࡍࡿࡇ࡜ࡣ⑂ປ⪏ஂᛶࡢほⅬ࠿ࡽࡶጇᙜ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋࡲࡓ㸪ヨ㦂య1Rࡣ୓ᅇ㍕Ⲵ᏶஢ᚋ࡟㟼ⓗ࡟ᢲᢤࡁ㍕Ⲵࢆᐇ᪋ࡋࡓࠋヨ㦂య1Rࡢ◚ቯᙧែࡶ㢌௜ࡁࢫࢱࢵࢻࡢ௜᰿࡛ࡢ◚᩿࡛࠶ࡗࡓࡀ᭱኱⪏ຊࡣN1ᮏ࡛࠶ࡾ㛫ワࡵࡢ௙ᵝࡀྠ୍࡛ヨ㦂᫬

উঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕ࡢࣔࣝࢱࣝᅽ⦰ᙉᗘࡀྠ⛬ᗘ࡛࠶ࡿヨ㦂య1Rࡢ⪏ຊࡢ⣙๭⛬ᗘ࡛࠶ࡗࡓ㸦ᅗ㸫㸶㸧ࠋヨ㦂య1R
ࡢࢫࢱࢵࢻࡢ◚᩿㠃࡟ࡣ㔠ᒓࡀ⑂ປ◚᩿ࡍࡿ㝿࡟ࡳࡽࢀࡿ㈅Ẇ≧ᶍᵝࡀࡳࡽࢀ㸦෗┿㸫㸶㸧㟼ⓗ㍕
Ⲵ࡟ඛ⾜ࡋ࡚ᐇ᪋ࡋࡓ⧞㏉ࡋ㍕Ⲵ࡟ࡼࡾࢫࢱࢵࢻࡢ⑂ປட⿣ࡀ㐍ᒎࡋ࡚࠸ࡓ࡜⪃࠼ࡽࢀࡿࠋ᭱኱⪏ຊ฿㐩ᚋࡣࡎࢀኚ఩ࡀPP⛬ᗘ࡜࡞ࡿࡲ࡛ࡣ᭱኱Ⲵ㔜࡟㏆࠸ࡏࢇ᩿ຊࢆಖᣢࡋࡓࠋኚᙧᛶ⬟ࡀᑠࡉ࠸ሙྜ㸪᱆➃㒊࡟タ⨨ࡉࢀࡓࢫࢱࢵࢻ࠿ࡽ㡰࡟◚ቯࡍࡿ㐍⾜ᛶ◚ቯࡀᠱᛕࡉࢀࡿࡀ㸪ᮏᵓ㐀ࡣ⑂ປட⿣ࡀ㐍ᒎࡋࡓሙྜ࡛࠶ࡗ࡚ࡶ⬤ᛶⓗ࡟◚ቯࡍࡿࡇ࡜ࡣ࡞࠿ࡗࡓࡓࡵ㸪㐍⾜ᛶ◚ቯࡣ⏕ࡌ࡟ࡃ࠸࡜⪃࠼ࡽࢀࡿࠋ ᅵᮌᏛ఍ࠕ㗰ᵓ㐀≀タィᣦ㔪3$57%ࠖ ࡟つᐃࡉࢀࡿྜᡂ᱆⏝࡟⏝࠸ࡽࢀࡿࡎࢀṆࡵࡢ⑂ປᙉᗘᘧᘧ㸫㸯 ࡜ヨ㦂⤖ᯝࡢẚ㍑ࢆᅗ㸫㸷࡟♧ࡍࠋヨ㦂⤖ᯝࡣ࠸ࡎࢀࡶ⑂ປᙉᗘᘧ࡟ࡼࡿண್ࢆ㉸࠼࡚࠾ࡾࡇࡢ⑂ປᙉᗘᘧࢆ⏝࠸࡚ᮏᵓ㐀ࡢ⑂ປᑑ࿨ࢆᏳ඲ഃ࡟ホ౯࡛ࡁࡿࡇ࡜ࡀ☜ㄆࡉࢀࡓࠋ


log(0.268'3) 1.75  0.117 log 1 ࣭࣭࣭࣭࣭࣭࣭࣭࣭࣭࣭㸦ᘧ㸫㸯㸧ࡇࡇ࡛㸪Ǽ3ࢫࢱࢵࢻᮏ࠶ࡓࡾࡢኚືⲴ㔜㸦N1ᮏ㸧1㍕Ⲵᅇᩘ㸲࠾ࢃࡾ࡟ ᮏ◊✲࡛ࡣ8)&ᗋ∧࡜㗰᱆ࡢ᥋ྜᵓ㐀ࢆ෌⌧ࡋࡓヨ㦂యࢆ⏝࠸࡚ᢲᢤࡁࡏࢇ᩿ヨ㦂࠾ࡼࡧ⑂ປヨ㦂ࢆ⾜࠸௨ୗࡢ▱ぢࢆᚓࡓࠋ࣭㛫ワࡵ㒊ࡢࣔࣝࢱࣝࡢ⿵ᙉἲ࡜ࡋ࡚㸪⁐᥋㔠⥙࡟ࡼࡿ⿵ᙉ㸪33⧄⥔ࡲࡓࡣ3(⧄⥔ࡢࣔࣝࢱࣝ࡬ࡢΰධࢆ᳨ウࡋࡓࠋࡑࡢ⤖ᯝ㸪ᢲᢤࡁࡏࢇ᩿ヨ㦂࡟࠾࠸࡚㸪3(⧄⥔ࢆΰධࡋࡓヨ㦂ࢣ࣮ࢫࡢ⪏ຊࡀ᭱ࡶ኱ࡁࡃ࡞ࡾ㸪⁐᥋㔠⥙࡟ࡼࡿ⿵ᙉ᪉ἲ࡜ྠ⛬ᗘ௨ୖࡢ⿵ᙉຠᯝࡀᚓࡽࢀࡿࡇ࡜ࢆ☜ㄆࡋࡓࠋ࣭ᮏ᥋ྜᵓ㐀ࡢ㝆అ⪏ຊࡢࢆチᐜࡏࢇ᩿⪏ຊ࡜ࡍࡿ᪉ἲࢆᥦ᱌ࡋࡓࠋྠ᪉ἲ࡛⟬ᐃࡋࡓチᐜࡏࢇ᩿⪏ຊࡣ㸪⑂ປヨ㦂࡛◚ቯ࡟⮳ࡽ࡞࠿ࡗࡓࢣ࣮ࢫࡢኚືⲴ㔜ࢆୗᅇࡗ࡚࠾ࡾ㸪ᥦ᱌ࡋࡓチᐜࡏࢇ᩿⪏ຊࡢ⟬ᐃἲࡣ⑂ປ⪏ஂᛶࡢほⅬ࠿ࡽࡶጇᙜ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋ࣭⑂ປᙉᗘ࡟ࡘ࠸࡚ࡣ᪤ ࡢタィᘧࡀ㐺⏝࡛ࡁࡿࡇ࡜ࢆ☜ㄆࡋࡓࠋ ᮏ◊✲ࢆ⾜࠺࡟࠶ࡓࡾ㛗ᒸᢏ⾡⛉Ꮫ኱Ꮫ㛗஭ྡ㄃ᩍᤵᮾிᕤᴗ኱Ꮫ஧⩚ᩍᤵᒱ㜧኱Ꮫෆ⏣ᩍᤵ࠾ࡼࡧ⚄ᡞ኱Ꮫ୕ᮌ෸ᩍᤵ࡟ᚚᣦᑟࢆ㡬ࡁࡲࡋࡓࠋࡇࡇ࡟῝ࡃឤㅰࡢពࢆ⾲ࡋࡲࡍࠋཧ⪃ᩥ⊩㸯㸧ᅵᮌᏛ఍㸸㉸㧗ᙉᗘ⧄⥔⿵ᙉࢥࣥࢡ࣮ࣜࢺ 8)& 㐨㊰ᶫᗋ∧࡟㛵ࡍࡿᢏ⾡ホ౯ሗ࿌᭩ᢏ⾡᥎㐍ࣛ࢖ࣈ࣮ࣛࣜ㸪㸰㸧᪥ᮏ㐨㊰༠఍㸸㐨㊰ᶫ♧᪉᭩࣭ྠゎㄝ ϩ㗰ᶫ⦅㸪ᖺ㸱㸧᪥ᮏ㗰ᵓ㐀༠఍㸸㢌௜ࡁࢫࢱࢵࢻࡢᢲᢤࡁヨ㦂᪉ἲ ᱌ ࡜ࢫࢱࢵࢻ࡟㛵ࡍࡿ◊✲ࡢ⌧≧㸪ᖺ㸲㸧୍ᐑࡽ㸸8)&ᗋ∧࡜㗰᱆ࡢ᥋ྜ࡟㛵ࡍࡿᇶ♏ⓗ◊✲㸪➨ᅇࣉࣞࢫࢺࣞࢫࢺࢥࣥࢡ࣮ࣜࢺࡢⓎᒎ࡟㛵ࡍࡿࢩ࣏ࣥࢪ࣒࢘㸪ᖺ㸳㸧ᅵᮌᏛ఍㸸㉸㧗ᙉᗘ⧄⥔⿵ᙉࢥࣥࢡ࣮ࣜࢺࠕࢧࢡࢭ࣒ࠖࡢᢏ⾡ホ౯ሗ࿌᭩ᢏ⾡᥎㐍ࣛ࢖ࣈ࣮ࣛࣜ1R㸪㸴㸧ᅵᮌᏛ఍㸸㗰ᵓ㐀≀タィᣦ㔪3$57%ྜᡂᵓ㐀≀㸪ᖺ